Scholarlink

<p>In this paper, we are interested in studying the interaction of light with metallic nanostructures modeled by a non-local hydrodynamic Drude model, which consists of a system of partial differential equations coupled to Maxwell’s equations. Solving this model is interesting but challenging, since it needs not only the curl conforming basis function as for the standard Maxwell’s equations, but also the divergence conforming basis function. Several novel finite element schemes are proposed and analyzed. Numerical results are presented to justify our theoretical analysis. This is the first paper on solving this time-domain non-local hydrodynamic Drude model with only the electric field and polarization current as unknowns.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Developing and analyzing some new finite element methods for a non-local hydrodynamic Drude model

  • 期刊论文

  • 发表日期：

    2025年12月1日

查看全文
  • Yunqing Huang,
  • Jichun Li,
  • Xin Liu

摘要

In this paper, we are interested in studying the interaction of light with metallic nanostructures modeled by a non-local hydrodynamic Drude model, which consists of a system of partial differential equations coupled to Maxwell’s equations. Solving this model is interesting but challenging, since it needs not only the curl conforming basis function as for the standard Maxwell’s equations, but also the divergence conforming basis function. Several novel finite element schemes are proposed and analyzed. Numerical results are presented to justify our theoretical analysis. This is the first paper on solving this time-domain non-local hydrodynamic Drude model with only the electric field and polarization current as unknowns.